Finding the Fourth Proportional to 10,564.84, 14,580.30 and 5,849.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.84 : 14,580.30 = 5,849.56 : x
2. Step 2: Convert to fraction form
   10,564.84/14,580.30 = 5,849.56/x
3. Step 3: Cross multiply
   10,564.84x = 14,580.30 × 5,849.56
4. Step 4: Simplify right side
   10,564.84x = 85,288,339.67
5. Step 5: Solve for x
   x = 85,288,339.67/10,564.84
6. Step 6: Final answer
   x = 8,072.85